The Computer as Crucible: An Introduction to Experimental Mathematics

ISBN-13: 9781568813431 / Angielski / Miękka / 2008 / 172 str.

Jonathan M. Borwein; Keith Devlin

Opis

Presents an introduction to experimental mathematics. This title covers a variety of topics and examples to give the reader a sense of the state of play in the field of experimental mathematics. It features explanations that are enhanced by relevant histor

Recenzje

The long experience of both authors can be clearly seen in the way they describe a number of problems ... they succeeded in exactly the right balance between mathematical depth and accessibility for a wide audience. The result is an easily digestible book full of humor for anyone with an affinity for mathematics ...-Dan Roozemond, Nieuw Archief voor Wiskunde The sleuth-like style and lucid writing certainly make this book an enjoyable read. Many explanations are framed by relevant historical context and tales of mathematicians whose use of experimental mathematics helped them gain insights into difficult problems. . . . I thoroughly enjoyed reading this short introduction to experimental mathematics. It will no doubt appeal to a broad mathematical audience, both professional and amateur alike.-Mitch Wheat, Gazette of the Australian Mathematical Society, July 2009 It is a pleasant and readable book for any working mathematician who wants to know something more about the use of computers for generating hypotheses on relations among known and less known special numbers.-Newsletter of the European Mathematical Society, June 2009 ... allows [the reader] to take a look at some interesting problems and solve [them] using [a] computer. The authors are showing how a mathematician can use a computer as a tool. ... The book covers a variety of topics and examples in order to give the reader a good sense of the current state of play in the rapidly growing new field of experimental mathematics. ... The writing is clear and the explanations are enhanced by relevant historical facts and stories of mathematicians and their encounters with the field over time. The book will be of interest to any reader who would like to taste the solving of mathematical problems with a computer. No matter if readers may not have much mathematical knowledge: they can catch the essentials with the book, and have fun exploring some questions.-Valentina Dagiene, Zentralblatt MATH, September 2009 ...a pleasant and readable book for any working mathematician who wants to know something more about the use of computers for generating hypotheses on relations among known and less known special numbers.-EMS Newsletter, June 2009 ...a lovely little book which builds a strong case for experimental mathematics. Any practicing mathematician or serious amateur should consider checking out this introduction to a topic that will no doubt transform mathematics.-Antonio Cangiano, Math-Blog.com, July 2010

O autorze

Jonathan M. Borwein, FRSC is Canada Research Chair in Collaborative Technology at Dalhousie University. He received his Doctorate from Oxford in 1974 and has been on faculty at Waterloo, Carnegie Mellon and Simon Fraser Universities. He has published extensively in optimization, analysis and computational mathematics and has received various prizes both for research and for exposition.